marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 15 mature female pink seaperch collected in fall has a mean length of 111

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A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of

15

mature female pink seaperch collected in fall has a mean length of

111

millimeters and a standard deviation of

12

millimeters. A sample of

8

mature female pink seaperch collected in winter has a mean length of

96

millimeters and a standard deviation of

7

millimeters. At

α=0.02

can you support the marine​ biologist's claim? Assume the population variances are equal. Assume the samples are random and​ independent, and the populations are normally distributed. Complete parts​ (a) through​ (e) below.

 

A) Identify the claim and state H0 and Ha

B) Find the critical​ value(s) and identify the rejection​ region(s).

C) Find the standardized test statistic.

D)​Decide whether to reject or fail to reject the null hypothesis.

​E)nterpret the decision in the context of the original claim.

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